%% dx = (0.03125,0.03125)
solution = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20623 1.24452 1.28402 1.32478 1.36683 1.41022 1.45499 1.50117 1.54882 1.59799 1.64871 1.70105 1.75504 1.81075 1.86823 1.92753 1.98872 2.05185 2.11698 2.18418 2.25352 2.32505 2.39886 2.47501 2.55357 2.63463 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28398 1.32474 1.36679 1.41017 1.45494 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86816 1.92746 1.98864 2.05177 2.1169 2.1841 2.25343 2.32496 2.39877 2.47491 2.55348 2.63454 2.71817 2.80445 2.89348 
1.09813 1.13299 1.16896 1.20607 1.24435 1.28385 1.32461 1.36666 1.41004 1.4548 1.50098 1.54863 1.59778 1.6485 1.70083 1.75481 1.81051 1.86798 1.92727 1.98845 2.05157 2.11669 2.18388 2.2532 2.32473 2.39853 2.47467 2.55322 2.63428 2.7179 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32436 1.3664 1.40978 1.45453 1.5007 1.54834 1.59749 1.6482 1.70051 1.75449 1.81018 1.86763 1.92691 1.98807 2.05118 2.11628 2.18346 2.25277 2.32429 2.39807 2.47419 2.55274 2.63377 2.71738 2.80364 2.89265 2.98447 3.07922 
1.16838 1.20547 1.24373 1.28322 1.32395 1.36598 1.40934 1.45408 1.50024 1.54787 1.597 1.64769 1.69999 1.75395 1.80962 1.86706 1.92632 1.98746 2.05054 2.11562 2.18278 2.25207 2.32356 2.39732 2.47342 2.55194 2.63295 2.71653 2.80277 2.89174 2.98354 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32334 1.36535 1.40869 1.45341 1.49955 1.54716 1.59627 1.64694 1.69922 1.75316 1.8088 1.86621 1.92544 1.98655 2.0496 2.11465 2.18176 2.25102 2.32247 2.3962 2.47227 2.55075 2.63173 2.71527 2.80147 2.8904 2.98216 3.07683 3.1745 3.27528 
1.24236 1.2818 1.32249 1.36447 1.40779 1.45248 1.49859 1.54616 1.59525 1.64589 1.69814 1.75204 1.80765 0 0 0 0 0 0 0 2.32097 2.39464 2.47066 2.5491 2.63002 2.71351 2.79966 2.88853 2.98023 3.07484 3.17245 3.27317 3.37707 
1.2807 1.32135 1.3633 1.40658 1.45123 1.49731 1.54484 1.59388 1.64449 1.69669 1.75056 0 0 0 0 0 0 0 0 0 0 0 2.5469 2.62776 2.71118 2.79725 2.88605 2.97767 3.0722 3.16973 3.27036 3.37418 3.48129 
1.3199 1.3618 1.40503 1.44964 1.49566 1.54314 1.59213 1.64268 1.69483 1.74864 0 0 0 0 0 0 0 0 0 0 0 0 0 2.7082 2.79418 2.88288 2.9744 3.06883 3.16625 3.26676 3.37047 3.47747 3.58786 
1.35994 1.40311 1.44765 1.49361 1.54103 1.58995 1.64043 1.69251 1.74625 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.87893 2.97032 3.06462 3.16191 3.26229 3.36585 3.4727 3.58295 3.69669 
1.40077 1.44524 1.49112 1.53845 1.58729 1.63769 1.68968 1.74333 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.0595 3.15663 3.25684 3.36023 3.46691 3.57697 3.69052 3.80768 
1.44235 1.48814 1.53538 1.58412 1.63441 1.6863 1.73983 1.79507 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.15032 3.25033 3.35352 3.45998 3.56982 3.68315 3.80007 3.92071 
1.48463 1.53176 1.58039 1.63056 1.68232 1.73573 1.79084 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.34562 3.45184 3.56142 3.67448 3.79113 3.91148 4.03565 
1.52757 1.57606 1.62609 1.67771 1.73097 1.78592 1.84262 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.44238 3.55167 3.66441 3.78074 3.90076 4.02459 4.15236 
1.57109 1.62097 1.67243 1.72552 1.78029 1.83681 1.89511 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.54048 3.65287 3.76883 3.88847 4.01191 4.13927 4.27067 
1.61515 1.66642 1.71932 1.7739 1.83021 1.88831 1.94825 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.63977 3.7553 3.87451 3.99751 4.12441 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82279 1.88065 1.94035 2.00195 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.74008 3.8588 3.98129 4.10767 4.23807 4.37261 4.51142 
1.70455 1.75866 1.81449 1.87209 1.93153 1.99284 2.05611 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.84124 3.96318 4.08899 4.21879 4.35272 4.49089 4.63345 
1.74975 1.8053 1.86261 1.92174 1.98274 2.04569 2.11063 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.94309 4.06826 4.19741 4.33066 4.46813 4.60997 4.75631 
1.79517 1.85215 1.91095 1.97162 2.03421 2.09878 2.16541 2.23416 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.92097 4.04544 4.17386 4.30636 4.44306 4.5841 4.72963 4.87977 
1.84071 1.89914 1.95943 2.02163 2.08581 2.15203 2.22035 2.29083 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.02044 4.14807 4.27975 4.41561 4.55578 4.7004 4.84961 5.00356 
1.88628 1.94616 2.00794 2.07169 2.13745 2.20531 2.27532 2.34755 2.42207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.99322 4.11999 4.25077 4.38571 4.52493 4.66858 4.81678 4.96968 5.12744 
1.93178 1.99311 2.05638 2.12166 2.18901 2.25851 2.3302 2.40418 2.4805 2.55924 0 0 0 0 0 0 0 0 0 0 0 0 0 3.96375 4.08957 4.21938 4.35332 4.49152 4.6341 4.7812 4.93298 5.08957 5.25114 
1.97712 2.03988 2.10463 2.17145 2.24038 2.3115 2.38488 2.46059 2.5387 2.61929 2.70245 0 0 0 0 0 0 0 0 0 0 0 3.93196 4.05677 4.18554 4.3184 4.45548 4.59692 4.74284 4.8934 5.04873 5.209 5.37436 
2.02216 2.08636 2.15259 2.22092 2.29142 2.36416 2.43922 2.51665 2.59654 2.67897 2.76401 2.85176 2.94229 0 0 0 0 0 0 0 3.77791 3.89783 4.02155 4.1492 4.28091 4.4168 4.557 4.70166 4.85091 5.00489 5.16377 5.32769 5.49681 
2.06681 2.13243 2.20012 2.26996 2.34202 2.41637 2.49307 2.57222 2.65387 2.73812 2.82504 2.91472 3.00724 3.1027 3.20118 3.30278 3.40761 3.51577 3.62739 3.74254 3.86133 3.9839 4.11036 4.24083 4.37544 4.51433 4.65763 4.80548 4.95802 5.11541 5.27779 5.44533 5.61818 
2.11096 2.17797 2.24711 2.31844 2.39204 2.46797 2.54631 2.62715 2.71054 2.79659 2.88536 2.97696 3.07146 3.16895 3.26954 3.37332 3.48039 3.59087 3.70486 3.82246 3.9438 4.06898 4.19814 4.3314 4.46889 4.61075 4.75711 4.90811 5.06392 5.22466 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36623 2.44134 2.51884 2.5988 2.68129 2.76641 2.85423 2.94483 3.03831 3.13476 3.23426 3.33692 3.44284 3.55213 3.66488 3.78122 3.90125 4.02508 4.15285 4.28467 4.42068 4.56101 4.70579 4.85516 5.00928 5.1683 5.33236 5.50162 5.67626 5.85645 
2.19723 2.26698 2.33894 2.41319 2.48979 2.56883 2.65037 2.73451 2.82131 2.91087 3.00327 3.09861 3.19697 3.29845 3.40315 3.51117 3.62263 3.73762 3.85626 3.97867 4.10497 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27087 5.43819 5.61082 5.78892 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53726 2.6178 2.7009 2.78663 2.87509 2.96636 3.06052 3.15767 3.25791 3.36132 3.46802 3.57811 3.69169 3.80887 3.92978 4.05452 4.18322 4.31601 4.45302 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54186 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42706 2.5041 2.58359 2.6656 2.75022 2.83752 2.92759 3.02052 3.11641 3.21533 3.3174 3.4227 3.53135 3.64344 3.7591 3.87843 4.00154 4.12856 4.25962 4.39483 4.53434 4.67827 4.82678 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
exact = [
1 1.03174 1.06449 1.09829 1.13315 1.16912 1.20623 1.24452 1.28403 1.32478 1.36684 1.41023 1.45499 1.50118 1.54883 1.598 1.64872 1.70106 1.75505 1.81077 1.86825 1.92755 1.98874 2.05187 2.117 2.1842 2.25353 2.32507 2.39888 2.47502 2.55359 2.63465 2.71828 
1.03174 1.06449 1.09828 1.13314 1.16911 1.20622 1.24451 1.28402 1.32478 1.36683 1.41022 1.45498 1.50117 1.54882 1.59799 1.64871 1.70105 1.75505 1.81076 1.86824 1.92754 1.98873 2.05186 2.11699 2.18419 2.25352 2.32506 2.39886 2.47501 2.55358 2.63464 2.71827 2.80456 
1.06445 1.09824 1.1331 1.16907 1.20618 1.24447 1.28397 1.32473 1.36678 1.41017 1.45493 1.50112 1.54877 1.59793 1.64865 1.70099 1.75498 1.81069 1.86817 1.92747 1.98866 2.05178 2.11691 2.18411 2.25344 2.32498 2.39878 2.47492 2.55349 2.63454 2.71817 2.80446 2.89348 
1.09813 1.13299 1.16896 1.20606 1.24435 1.28385 1.3246 1.36665 1.41003 1.45479 1.50097 1.54862 1.59778 1.64849 1.70082 1.75481 1.81052 1.86799 1.92729 1.98846 2.05159 2.11671 2.1839 2.25323 2.32475 2.39855 2.47468 2.55324 2.63429 2.71791 2.80418 2.8932 2.98504 
1.13278 1.16874 1.20584 1.24412 1.28361 1.32435 1.36639 1.40977 1.45452 1.50069 1.54833 1.59748 1.64819 1.7005 1.75448 1.81018 1.86764 1.92692 1.98809 2.0512 2.11631 2.18349 2.2528 2.32431 2.3981 2.47422 2.55276 2.63379 2.7174 2.80366 2.89265 2.98448 3.07922 
1.16838 1.20546 1.24373 1.28321 1.32394 1.36597 1.40933 1.45407 1.50022 1.54785 1.59698 1.64767 1.69998 1.75394 1.80962 1.86706 1.92633 1.98748 2.05056 2.11566 2.18281 2.2521 2.32359 2.39735 2.47345 2.55197 2.63298 2.71656 2.80279 2.89176 2.98355 3.07826 3.17598 
1.20491 1.24316 1.28262 1.32333 1.36534 1.40868 1.4534 1.49953 1.54713 1.59624 1.64691 1.69919 1.75313 1.80878 1.8662 1.92544 1.98656 2.04962 2.11468 2.18181 2.25106 2.32252 2.39625 2.47231 2.55079 2.63176 2.7153 2.8015 2.89042 2.98218 3.07684 3.17451 3.27528 
1.24236 1.28179 1.32248 1.36446 1.40777 1.45246 1.49857 1.54614 1.59522 1.64585 1.6981 1.752 1.80762 0 0 0 0 0 0 0 2.32103 2.3947 2.47072 2.54915 2.63007 2.71355 2.79969 2.88856 2.98026 3.07486 3.17247 3.27317 3.37707 
1.2807 1.32135 1.36329 1.40657 1.45122 1.49729 1.54481 1.59385 1.64445 1.69665 1.7505 0 0 0 0 0 0 0 0 0 0 0 2.54697 2.62782 2.71123 2.7973 2.88609 2.97771 3.07223 3.16975 3.27037 3.37419 3.48129 
1.3199 1.3618 1.40503 1.44963 1.49564 1.54312 1.5921 1.64264 1.69479 1.74858 0 0 0 0 0 0 0 0 0 0 0 0 0 2.70826 2.79423 2.88293 2.97444 3.06886 3.16628 3.26679 3.37049 3.47748 3.58786 
1.35994 1.40311 1.44765 1.4936 1.54101 1.58993 1.6404 1.69247 1.74619 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.87899 2.97038 3.06467 3.16195 3.26232 3.36588 3.47272 3.58296 3.69669 
1.40077 1.44523 1.49111 1.53844 1.58728 1.63766 1.68965 1.74328 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.05956 3.15668 3.25688 3.36027 3.46693 3.57698 3.69053 3.80768 
1.44235 1.48813 1.53537 1.58411 1.63439 1.68628 1.7398 1.79503 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.15038 3.25038 3.35356 3.46001 3.56985 3.68317 3.80008 3.92071 
1.48463 1.53176 1.58038 1.63055 1.68231 1.73571 1.79081 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.34567 3.45187 3.56145 3.6745 3.79114 3.91149 4.03565 
1.52757 1.57606 1.62609 1.6777 1.73096 1.78591 1.8426 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.44243 3.5517 3.66444 3.78076 3.90078 4.0246 4.15236 
1.57109 1.62096 1.67242 1.72551 1.78028 1.83679 1.8951 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.54051 3.6529 3.76886 3.88849 4.01193 4.13928 4.27067 
1.61515 1.66642 1.71931 1.77389 1.8302 1.8883 1.94824 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.63979 3.75533 3.87453 3.99753 4.12442 4.25534 4.39042 
1.65966 1.71234 1.7667 1.82278 1.88064 1.94034 2.00193 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.7401 3.85882 3.98131 4.10769 4.23808 4.37262 4.51142 
1.70455 1.75866 1.81449 1.87208 1.93151 1.99282 2.05608 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.84127 3.9632 4.08901 4.21881 4.35273 4.4909 4.63345 
1.74975 1.80529 1.8626 1.92172 1.98273 2.04567 2.1106 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.94312 4.06829 4.19743 4.33067 4.46814 4.60998 4.75631 
1.79517 1.85215 1.91094 1.9716 2.03419 2.09876 2.16538 2.23412 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.921 4.04547 4.17389 4.30638 4.44308 4.58412 4.72963 4.87977 
1.84071 1.89914 1.95942 2.02162 2.08579 2.15201 2.22032 2.2908 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.02048 4.1481 4.27977 4.41563 4.5558 4.70041 4.84962 5.00356 
1.88628 1.94616 2.00794 2.07167 2.13744 2.20529 2.27529 2.34751 2.42203 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.99326 4.12002 4.2508 4.38573 4.52495 4.66859 4.81679 4.96969 5.12744 
1.93178 1.99311 2.05637 2.12165 2.189 2.25849 2.33018 2.40415 2.48046 2.5592 0 0 0 0 0 0 0 0 0 0 0 0 0 3.96377 4.08959 4.21941 4.35334 4.49153 4.63411 4.78121 4.93299 5.08958 5.25114 
1.97712 2.03988 2.10463 2.17144 2.24036 2.31148 2.38486 2.46056 2.53867 2.61925 2.7024 0 0 0 0 0 0 0 0 0 0 0 3.93196 4.05678 4.18555 4.31842 4.4555 4.59693 4.74285 4.89341 5.04874 5.209 5.37436 
2.02216 2.08635 2.15258 2.22091 2.29141 2.36415 2.43919 2.51662 2.59651 2.67893 2.76397 2.85171 2.94223 0 0 0 0 0 0 0 3.7779 3.89782 4.02155 4.14921 4.28092 4.41681 4.55701 4.70167 4.85092 5.0049 5.16377 5.32769 5.49681 
2.06681 2.13242 2.20011 2.26995 2.34201 2.41635 2.49305 2.57219 2.65384 2.73808 2.825 2.91468 3.0072 3.10266 3.20115 3.30276 3.4076 3.51577 3.62737 3.74252 3.86132 3.98389 4.11035 4.24083 4.37545 4.51434 4.65764 4.80549 4.95803 5.11542 5.2778 5.44533 5.61818 
2.11096 2.17796 2.2471 2.31843 2.39203 2.46796 2.5463 2.62713 2.71052 2.79656 2.88533 2.97692 3.07142 3.16892 3.26951 3.3733 3.48038 3.59086 3.70484 3.82245 3.94378 4.06897 4.19814 4.3314 4.46889 4.61075 4.75711 4.90812 5.06392 5.22467 5.39051 5.56163 5.73817 
2.15447 2.22286 2.29342 2.36622 2.44133 2.51883 2.59878 2.68128 2.76639 2.85421 2.94481 3.03829 3.13473 3.23424 3.3369 3.44283 3.55212 3.66487 3.78121 3.90124 4.02507 4.15284 4.28467 4.42068 4.56101 4.70579 4.85517 5.00929 5.1683 5.33236 5.50162 5.67627 5.85645 
2.19723 2.26698 2.33894 2.41318 2.48979 2.56882 2.65036 2.73449 2.8213 2.91085 3.00325 3.09859 3.19695 3.29843 3.40313 3.51116 3.62262 3.73761 3.85626 3.97867 4.10496 4.23527 4.36971 4.50842 4.65153 4.79919 4.95153 5.10871 5.27088 5.43819 5.61082 5.78893 5.97269 
2.23912 2.31019 2.38353 2.45919 2.53725 2.61779 2.70089 2.78662 2.87508 2.96635 3.06051 3.15766 3.25789 3.36131 3.46801 3.5781 3.69168 3.80886 3.92977 4.05452 4.18322 4.31601 4.45301 4.59437 4.74021 4.89068 5.04593 5.2061 5.37136 5.54187 5.71778 5.89928 6.08655 
2.28001 2.35238 2.42705 2.5041 2.58359 2.6656 2.75021 2.83751 2.92759 3.02052 3.1164 3.21533 3.31739 3.4227 3.53134 3.64344 3.7591 3.87842 4.00154 4.12856 4.25961 4.39483 4.53434 4.67827 4.82677 4.97999 5.13807 5.30117 5.46945 5.64307 5.8222 6.00702 6.1977 
2.31978 2.39341 2.46939 2.54778 2.62865 2.71209 2.79818 2.88701 2.97865 3.0732 3.17076 3.27141 3.37526 3.4824 3.59294 3.70699 3.82467 3.94607 4.07134 4.20057 4.33391 4.47149 4.61343 4.75987 4.91097 5.06686 5.2277 5.39364 5.56486 5.7415 5.92376 6.1118 6.30581 
];
err = [
0 0 6.66134e-16 2.68674e-14 1.47704e-12 -1.1795e-12 1.22324e-12 1.31961e-12 -2.39364e-13 1.23679e-13 1.02518e-12 -3.63487e-13 4.82991e-12 3.76366e-13 -1.40954e-12 1.44751e-12 -1.49658e-12 1.95621e-13 -3.55049e-13 2.6168e-12 3.12195e-13 5.61995e-12 -2.88636e-12 4.09583e-12 -1.19593e-12 1.50147e-12 2.24709e-13 -2.6974e-12 8.11617e-12 -1.81366e-12 -7.03437e-13 1.7133e-12 0 
-6.66134e-16 2.13255e-07 5.20024e-07 8.83742e-07 1.28079e-06 1.68861e-06 2.08037e-06 2.42242e-06 2.67372e-06 2.78788e-06 2.71833e-06 2.42673e-06 1.89238e-06 1.11741e-06 1.25541e-07 -1.03611e-06 -2.30075e-06 -3.58229e-06 -4.7767e-06 -5.77845e-06 -6.51223e-06 -6.95446e-06 -7.11995e-06 -7.04608e-06 -6.77749e-06 -6.35462e-06 -5.80766e-06 -5.15473e-06 -4.40197e-06 -3.54363e-06 -2.55985e-06 -1.40862e-06 0 
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